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Finding the Fourth Proportional to 52,709.12, 72,755.54 and 34,820

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Solution

The fourth proportional to 52,709.12, 72,755.54 and 34,820 is: 48,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,709.12 : 72,755.54 = 34,820 : x
  2. Step 2: Convert to fraction form
    52,709.12/72,755.54 = 34,820/x
  3. Step 3: Cross multiply
    52,709.12x = 72,755.54 × 34,820
  4. Step 4: Simplify right side
    52,709.12x = 2,533,347,902.80
  5. Step 5: Solve for x
    x = 2,533,347,902.80/52,709.12
  6. Step 6: Final answer
    x = 48,062.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.